Critical behavior of frustrated spin systems with nonplanar orderings

Abstract

The critical behavior of frustrated spin systems with nonplanar orderings is analyzed by a six-loop study in fixed dimension of an effective O$(N)\times$O$(M)$ Landau-Ginzburg-Wilson Hamiltonian. For this purpose the large-order behavior of the field theoretical expansion is determined. No stable fixed point is found in the physically interesting case of $M=N=3$, suggesting a first-order transition in this system. The large $N$ behavior is analyzed for $M=3,4,5$ and the line $N_c(d=3,M)$ which limits the region of second-order phase transition is computed.

6 pages, 2 figures, few corrections

References in corpus (2)

• Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
• Critical exponent omega at O(1/N) in O(N) x O(m) spin models

Cited by in corpus (8)

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• Six-loop $\epsilon$ expansion study of three-dimensional $O(n)\times O(m)$ spin models
• Spin-density-wave order in cuprates
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• High-order perturbative expansions of multi-parameter Phi^4 quantum field theories